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Finding the Fourth Proportional to 56,702.31, 78,249.69 and 31,551.81

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Solution

The fourth proportional to 56,702.31, 78,249.69 and 31,551.81 is: 43,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702.31 : 78,249.69 = 31,551.81 : x
  2. Step 2: Convert to fraction form
    56,702.31/78,249.69 = 31,551.81/x
  3. Step 3: Cross multiply
    56,702.31x = 78,249.69 × 31,551.81
  4. Step 4: Simplify right side
    56,702.31x = 2,468,919,351.44
  5. Step 5: Solve for x
    x = 2,468,919,351.44/56,702.31
  6. Step 6: Final answer
    x = 43,541.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.